May we verify non existing dispersion free ensembles by application of quantum mechanics in experiments at perceptive and cognitive level?
Elio Conte, Orlando Todarello, Antonio Federici, Nunzia Santacroce,, Vincenza Laterza, and Andrei Yuri Khrennikov

TL;DR
This paper explores the possibility of testing the non-existence of dispersion free ensembles in quantum mechanics through perceptual and cognitive experiments in humans, proposing a theoretical framework and experimental design.
Contribution
It provides a detailed theoretical approach and experimental design for investigating quantum phenomena at the perceptual and cognitive level in humans.
Findings
Theoretical framework for perceptual experiments
Design of experiments to test quantum non-existence in cognition
Progress on implementing the proposed experiments
Abstract
Von Neumann in 1932 was the first to outline the possible non existence of dispersion free ensembles in quantum mechanics, and he used also such basic evidence to give a preliminary proof on incompatibility between quantum mechanics and (non-contextual) hidden variables theory. In the present paper we give a detailed theoretical elaboration on the manner in which such fundamental subject could be explored at perceptive and cognitive level in humans. We also discuss a general design of the experiment that we have in progress so to give direct indications to other researchers engaged in such field.
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Taxonomy
TopicsQuantum Mechanics and Applications · Statistical Mechanics and Entropy · Quantum Information and Cryptography
